Coupled States of $\chi_{cJ}(2P)$ Charmonia and Hadronic Molecules

The internal structures of the charmonium-like states $X(3860)$, $X(3872)$, and $Z(3930)$ are investigated within a coupled-channel framework incorporating conventional $\chi_{cJ}(2P)$ charmonium states and hadronic molecular channels. The interactions between hadrons are described by one-boson-exchange (OBE) potentials derived from effective Lagrangians respecting chiral symmetry, heavy-quark symmetry, and hidden local symmetry. The transition potentials between the charmonium and hadronic molecular channels are constructed using the ${}^3P_0$ quark-pair-creation model. Within this framework, we investigate the effects of channel coupling on the mass spectrum and internal structures of these charmonium-like states.

Nov 17, 2026 — Nov 18, 2026